A generalization of Einstein's gravitational theory is discussed in which the spin of matter as well as its mass plays a dynamical role. The spin of matter couples to a non-Riemannian structure in space-time, Cartan's torsion tensor. The theory which emerges from taking this coupling into account, the U4 theory of gravitation, predicts, in addition to the usual infinite-range gravitational interaction medicated by the metric field, a new, very weak, spin contact interaction of gravitational origin. We summarize here all the available theoretical evidence that argues for admitting spin and torsion into a relativistic gravitational theory. Not least among this evidence is the demonstration that the U4 theory arises as a local gauge theory for the Poincaré group in space-time. The deviations of the U4 theory from standard general relativity are estimated, and the prospects for further theoretical development are assessed. © 1976 The American Physical Society.
CITATION STYLE
Hehl, F. W., Von Der Heyde, P., Kerlick, G. D., & Nester, J. M. (1976). General relativity with spin and torsion: Foundations and prospects. Reviews of Modern Physics, 48(3), 393–416. https://doi.org/10.1103/RevModPhys.48.393
Mendeley helps you to discover research relevant for your work.